# How do you find the Taylor polynomial of degree 4 for #f(x) = cosh(x)# about #x = 0 # by using the given Taylor polynomial for #e^x#?

##### 1 Answer

May 9, 2017

#### Explanation:

The MacLaurin series for

Truncating the series at

and substituting

Using the exponential form of

and we can see that the terms of even order cancel each other, so that: